45812520 has 192 divisors, whose sum is σ = 166017600. Its totient is φ = 11232000.

The previous prime is 45812519. The next prime is 45812551. The reversal of 45812520 is 2521854.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182395 + ... + 182645.

It is an arithmetic number, because the mean of its divisors is an integer number (864675).

Almost surely, 2^45812520 is an apocalyptic number.

45812520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45812520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83008800).

45812520 is an abundant number, since it is smaller than the sum of its proper divisors (120205080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45812520 is a wasteful number, since it uses less digits than its factorization.

45812520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45812520 is about 6768.4946627740. The cubic root of 45812520 is about 357.8173490631.

The spelling of 45812520 in words is "forty-five million, eight hundred twelve thousand, five hundred twenty".